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Finding the Third Proportional to 54,633.75 and 84,377

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Solution

The third proportional to 54,633.75 and 84,377 is: 130,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,633.75 : 84,377 = 84,377 : x
  2. Step 2: Convert to fraction form
    54,633.75/84,377 = 84,377/x
  3. Step 3: Cross multiply
    54,633.75x = 84,377 × 84,377
  4. Step 4: Simplify right side
    54,633.75x = 7,119,478,129
  5. Step 5: Solve for x
    x = 7,119,478,129/54,633.75
  6. Step 6: Final answer
    x = 130,312.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.